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Finding the Fourth Proportional to 323,768, 485,535.34 and 136,794.08

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Solution

The fourth proportional to 323,768, 485,535.34 and 136,794.08 is: 205,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,768 : 485,535.34 = 136,794.08 : x
  2. Step 2: Convert to fraction form
    323,768/485,535.34 = 136,794.08/x
  3. Step 3: Cross multiply
    323,768x = 485,535.34 × 136,794.08
  4. Step 4: Simplify right side
    323,768x = 66,418,360,142.79
  5. Step 5: Solve for x
    x = 66,418,360,142.79/323,768
  6. Step 6: Final answer
    x = 205,141.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.